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math.NT2025
Polynomials and asymptotic constants in a resurgent problem from 't Hooft
David Broadhurst, GergÅ Nemes, Gergő Nemes
In a recent study of the quantum theory of harmonic oscillators, Gerard 't Hooft proposed the following problem: given for , find its a…
math.NT2024
Simple error bounds for an asymptotic expansion of the partition function
GergÅ Nemes
Recently, there has been renewed interest in studying the asymptotic properties of the integer partition function . Hardy, Ramanujan, and Rademacher provided detailed asympto…